(x+2)/(x-2)=6

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Solution for (x+2)/(x-2)=6 equation:



(x+2)/(x-2)=6
We move all terms to the left:
(x+2)/(x-2)-(6)=0
Domain of the equation: (x-2)!=0
We move all terms containing x to the left, all other terms to the right
x!=2
x∈R
We multiply all the terms by the denominator
(x+2)-6*(x-2)=0
We multiply parentheses
(x+2)-6x+12=0
We get rid of parentheses
x-6x+2+12=0
We add all the numbers together, and all the variables
-5x+14=0
We move all terms containing x to the left, all other terms to the right
-5x=-14
x=-14/-5
x=2+4/5

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